6424730028288 has 864 divisors, whose sum is σ = 22172807704320. Its totient is φ = 1763500032000.

The previous prime is 6424730028271. The next prime is 6424730028293. The reversal of 6424730028288 is 8828200374246.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6292585218 + ... + 6292586238.

It is an arithmetic number, because the mean of its divisors is an integer number (25662971880).

Almost surely, 2^{6424730028288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6424730028288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11086403852160).

6424730028288 is an abundant number, since it is smaller than the sum of its proper divisors (15748077676032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6424730028288 is a wasteful number, since it uses less digits than its factorization.

6424730028288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 6424730028288 in words is "six trillion, four hundred twenty-four billion, seven hundred thirty million, twenty-eight thousand, two hundred eighty-eight".